Nonlinear Dynamics

, Volume 88, Issue 4, pp 2329–2346 | Cite as

Towards control of cross-flow-induced vibrations based on energy harvesting

Original Paper


The active control approach generally requires power input to suppress vibrations of structures, while the conventional passive manner often causes waste of energy after transferring vibrations of the primary structure to the auxiliary system. In this work, an innovative control strategy based on energy harvesting for efficiently suppressing the cross-flow-induced vibrations such as galloping is proposed. The novel design facilitates the harvester of not only alleviating the oscillation of the primary structure but also seizing the transferred vibrational energy. An analytical model for the coupled nonlinear dynamical system is established by utilizing the Euler–Lagrange principle and implementing the Galerkin discretization. The impacts of the electrical load resistance and tip mass of the energy harvester on the coupled frequency, damping, and the onset speed of instability of the coupled multi-mode system are investigated in details. The results show that there exists an optimal load resistance for each tip mass which maximizes the onset speed of galloping. For control purposes, it is found that there is a well-defined tip mass of the energy harvester at which the coupled system has the highest onset speed of instability, and hence, the bluff body has the lowest vibration amplitude for all considered load resistances. However, to efficiently harvest energy and control the bluff body, both the tip mass of the energy harvester and electrical load resistance can be accurately determined.


Cross-flow-induced vibration Control strategy Energy harvesting Multi-mode Energy transferring 



The authors gratefully acknowledge the support provided by the Fundamental Research Funds for the Central Universities, HUST (2015MS070) and the National Natural Science Foundation of China (Nos. 11602090 and 11622216).


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Copyright information

© Springer Science+Business Media Dordrecht 2017

Authors and Affiliations

  • H. L. Dai
    • 1
    • 2
  • H. Abdelmoula
    • 3
  • A. Abdelkefi
    • 3
  • L. Wang
    • 1
    • 2
  1. 1.Department of MechanicsHuazhong University of Science and TechnologyWuhanChina
  2. 2.Hubei Key Laboratory for Engineering Structural Analysis and Safety AssessmentWuhanChina
  3. 3.Department of Mechanical and Aerospace EngineeringNew Mexico State UniversityLas CrucesUSA

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